{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is an illustrative example of a Pairs Trading involving Coca-Cola (KO) and PepsiCo (PEP), despite being fundamentaly different companies, for example, KO has half the sales of PEP but has a higher Net Income however they both manufacture, distribute and sell soft beverages.\n",
    "\n",
    "But the market already knows past information if any new information is released, specially if affects both companies like for example new regulations affecting the beverage market, its expected that it will affect both companies in the same way therefore the price of each should move in the same direction.\n",
    "\n",
    "This strategy falls under the expectation that when prices depart from their historic equilibrium (quantified here as rolling correlation), the company that valued less in the last week will catchup during the trade session, being the positions open at open price (slippage & transaction costs can be factored in but aren't accounted for) and sold at close"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# python 3.8\n",
    "\n",
    "# For yahoo finance\n",
    "import io\n",
    "import re\n",
    "import requests\n",
    "\n",
    "# The usual suspects\n",
    "import numpy             as np\n",
    "import pandas            as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Fancy graphics\n",
    "plt.style.use('seaborn')\n",
    "\n",
    "# Getting Yahoo finance data\n",
    "def getdata(tickers,start,end,frequency):\n",
    "    OHLC = {}\n",
    "    cookie = ''\n",
    "    crumb = ''\n",
    "    res = requests.get('https://finance.yahoo.com/quote/SPY/history')\n",
    "    cookie = res.cookies['B']\n",
    "    pattern = re.compile('.*\"CrumbStore\":\\{\"crumb\":\"(?P<crumb>[^\"]+)\"\\}')\n",
    "    for line in res.text.splitlines():\n",
    "        m = pattern.match(line)\n",
    "        if m is not None:\n",
    "            crumb = m.groupdict()['crumb']\n",
    "    for ticker in tickers:\n",
    "        url_str = \"https://query1.finance.yahoo.com/v7/finance/download/%s\"\n",
    "        url_str += \"?period1=%s&period2=%s&interval=%s&events=history&crumb=%s\"\n",
    "        url = url_str % (ticker, start, end, frequency, crumb)\n",
    "        res = requests.get(url, cookies={'B': cookie}).text\n",
    "        OHLC[ticker] = pd.read_csv(io.StringIO(res), index_col=0,\n",
    "                                   error_bad_lines=False).replace('null', np.nan).dropna()\n",
    "        OHLC[ticker].index = pd.to_datetime(OHLC[ticker].index)\n",
    "        OHLC[ticker] = OHLC[ticker].apply(pd.to_numeric)\n",
    "    return OHLC\n",
    "\n",
    "# Assets under consideration\n",
    "tickers = ['PEP','KO']\n",
    "\n",
    "data = None\n",
    "while data is None:\n",
    "    try:\n",
    "        data = getdata(tickers,'946685000','1587427200','1d')\n",
    "    except:\n",
    "         pass\n",
    "\n",
    "KO = data['KO']\n",
    "PEP = data['PEP']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#tc = -0.0005 # Transaction costs\n",
    "\n",
    "pairs = pd.DataFrame({'TPEP':PEP['Close'].shift(1)/PEP['Close'].shift(2)-1,\n",
    "                      'TKO':KO['Close'].shift(1)/KO['Close'].shift(2)-1})\n",
    "\n",
    "# Criteria to select which asset we're gonna buy, in this case, the one that had the lowest return yesterday\n",
    "pairs['Target'] = pairs.min(axis=1)\n",
    "\n",
    "# Signal that triggers the purchase of the asset\n",
    "pairs['Correlation'] = ((PEP['Close'].shift(1)/PEP['Close'].shift(20)-1).rolling(window=9)\n",
    "                        .corr((KO['Close'].shift(1)/KO['Close'].shift(20)-1)))\n",
    "\n",
    "Signal = pairs['Correlation'] < 0.9\n",
    "\n",
    "# We're holding positions that weren't profitable yesterday\n",
    "HoldingYesterdayPosition = ((pairs['Target'].shift(1).isin(pairs['TPEP']) &\n",
    "                             (PEP['Close'].shift(1)/PEP['Open'].shift(1)-1 < 0)) |\n",
    "                            (pairs['Target'].shift(1).isin(pairs['TKO']) &\n",
    "                             (KO['Close'].shift(1)/KO['Open'].shift(1)-1 < 0))) # if tc, add here\n",
    "\n",
    "# Since we aren't using leverage, we can't enter on a new position if\n",
    "# we entered on a position yesterday (and if it wasn't profitable)\n",
    "NoMoney = Signal.shift(1) & HoldingYesterdayPosition\n",
    "\n",
    "pairs['PEP'] = np.where(NoMoney,\n",
    "                        np.nan,\n",
    "                        np.where(PEP['Close']/PEP['Open']-1 < 0,\n",
    "                                 PEP['Close'].shift(-1)/PEP['Open']-1,\n",
    "                                 PEP['Close']/PEP['Open']-1))\n",
    "\n",
    "pairs['KO'] = np.where(NoMoney,\n",
    "                       np.nan,\n",
    "                       np.where(KO['Close']/KO['Open']-1 < 0,\n",
    "                                KO['Close'].shift(-1)/KO['Open']-1,\n",
    "                                KO['Close']/KO['Open']-1))\n",
    "\n",
    "pairs['Returns'] = np.where(Signal,\n",
    "                            np.where(pairs['Target'].isin(pairs['TPEP']),\n",
    "                                      pairs['PEP'],\n",
    "                                      pairs['KO']),\n",
    "                             np.nan) # if tc, add here\n",
    "\n",
    "pairs['CumulativeReturn'] = pairs['Returns'].dropna().cumsum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Pepsi returns\n",
    "ReturnPEP = PEP['Close']/PEP['Open']-1\n",
    "BuyHoldPEP = PEP['Adj Close']/float(PEP['Adj Close'][:1])-1\n",
    "\n",
    "# Coca Cola returns\n",
    "ReturnKO = KO['Close']/KO['Open']-1\n",
    "BuyHoldKO = KO['Adj Close']/float(KO['Adj Close'][:1])-1\n",
    "\n",
    "# Benchmark\n",
    "ReturnBoth = (ReturnPEP+ReturnKO)/2\n",
    "BuyHoldBoth = ((BuyHoldPEP+BuyHoldKO)/2).fillna(method='ffill')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=====Strategy Returns=====\n",
      "Mean return = 0.15 %\n",
      "Standard deviaton = 1.36 %\n",
      "==========================\n",
      "Worst return = -14.41 %\n",
      "Best return = 11.08 %\n",
      "=========================\n",
      "Lower quantile = -0.37 %\n",
      "Median return = 0.26 %\n",
      "Upper quantile = 0.74 %\n"
     ]
    }
   ],
   "source": [
    "returns = pairs['Returns'].dropna()\n",
    "cumulret = pairs['CumulativeReturn'].dropna()\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(16,6))\n",
    "\n",
    "hist1, bins1 = np.histogram(ReturnBoth.dropna(), bins=50)\n",
    "width = 0.7 * (bins1[1] - bins1[0])\n",
    "center = (bins1[:-1] + bins1[1:]) / 2\n",
    "\n",
    "ax.bar(center, hist1, align='center', width=width, label='50/50 Returns')\n",
    "\n",
    "hist2, bins2 = np.histogram(returns, bins=50)\n",
    "ax.bar(center, hist2, align='center', width=width, label='Pairs Trading')\n",
    "\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "print('=====Strategy Returns=====')\n",
    "print('Mean return =',round((returns.mean())*100,2),\"%\")\n",
    "print('Standard deviaton =',round((returns.std())*100,2),\"%\")\n",
    "print(\"==========================\")\n",
    "print('Worst return =',round((min(returns))*100,2),\"%\")\n",
    "print('Best return =',round((max(returns))*100,2),\"%\")\n",
    "print(\"=========================\")\n",
    "print('Lower quantile =',round((returns.quantile(q=0.25))*100,2),\"%\")\n",
    "print('Median return =',round((returns.quantile(q=0.5))*100,2),\"%\")\n",
    "print('Upper quantile =',round((returns.quantile(q=0.75))*100,2),\"%\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Some stats, this could be improved by trying to estimate a yearly sharpe, among many others\n",
    "executionrate = len(returns)/len(ReturnBoth)\n",
    "\n",
    "maxdd = round(max(np.maximum.accumulate(cumulret)-cumulret)*100,2)\n",
    "\n",
    "mask = returns<0\n",
    "diffs = np.diff(mask.astype(int))\n",
    "start_mask = np.append(True,diffs==1) \n",
    "mask1 = mask & ~(start_mask & np.append(diffs==-1,True))\n",
    "id = (start_mask & mask1).cumsum()\n",
    "out = np.bincount(id[mask1]-1,returns[mask1])\n",
    "badd = round(max(-out)*100,2)\n",
    "\n",
    "spositive = returns[returns > 0]\n",
    "snegative = -returns[returns < 0]\n",
    "winrate = round((len(spositive)/(len(spositive)+len(snegative)))*100,2)\n",
    "\n",
    "beta = round(returns.corr(ReturnBoth),2)\n",
    "\n",
    "sharpe = round((float(cumulret[-1:]))/cumulret.std(),2)\n",
    "\n",
    "tret = round((float(cumulret[-1:]))*100,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cumulative Return =  341.33 %\n",
      "=========================\n",
      "Execution Rate =  45.57 %\n",
      "Win Rate =  68.32 %\n",
      "=========================\n",
      "Maximum Loss =  22.5 %\n",
      "Maximum Consecutive Loss =  15.49 %\n",
      "=========================\n",
      "Beta =  0.63\n",
      "Sharpe =  3.83\n"
     ]
    }
   ],
   "source": [
    "plt.figure(figsize=(16,6))\n",
    "plt.plot(BuyHoldBoth*100, label='Buy & Hold 50/50')\n",
    "plt.plot(cumulret*100, label='Pairs Trading', color='coral')\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Returns (in %)')\n",
    "plt.margins(x=0.005,y=0.02)\n",
    "plt.axhline(y=0, xmin=0, xmax=1, linestyle='--', color='k')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "print(\"Cumulative Return = \",tret,\"%\")\n",
    "print(\"=========================\")\n",
    "print(\"Execution Rate = \",round(executionrate*100,2),\"%\")\n",
    "print(\"Win Rate = \",winrate,\"%\")\n",
    "print(\"=========================\")\n",
    "print(\"Maximum Loss = \",maxdd,\"%\")\n",
    "print(\"Maximum Consecutive Loss = \",badd,\"%\")\n",
    "print(\"=========================\")\n",
    "print(\"Beta = \",beta)\n",
    "print(\"Sharpe = \",sharpe)\n",
    "# Return (\"alpha\") decay is pretty noticeable from 2011 onwards, most likely due to overfitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Buy & Hold 50/50 YTD Performance (at 20 April 2020) = 5.4 %\n",
      "Strategy YTD Performance = -2.0 %\n"
     ]
    }
   ],
   "source": [
    "BuyHoldBothYTD = (((PEP['Adj Close'][-252:]/float(PEP['Adj Close'][-252])-1)+(KO['Adj Close'][-252:]/float(KO['Adj Close'][-252])-1))/2).fillna(method='ffill')\n",
    "StrategyYTD = returns[-96:].cumsum()\n",
    "\n",
    "plt.figure(figsize=(16,6))\n",
    "plt.plot(BuyHoldBothYTD*100, label='Buy & Hold 50/50')\n",
    "plt.plot(StrategyYTD*100, label='Pairs Trading', color='coral')\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Returns (in %)')\n",
    "plt.margins(x=0.005,y=0.02)\n",
    "plt.axhline(y=0, xmin=0, xmax=1, linestyle='--', color='k')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "print('Buy & Hold 50/50 YTD Performance (at 20 April 2020) =',round(float(BuyHoldBothYTD[-1:]*100),1),'%')\n",
    "print('Strategy YTD Performance =',round(float(StrategyYTD[-1:]*100),1),'%')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
